论文标题
量子组对C*-代数的作用的部分蓬松素二元性
Partial Pontryagin duality for actions of quantum groups on C*-algebras
论文作者
论文摘要
我们比较了对局部紧凑量量子组的两个构建体的C*代数的作用，两种产物和双交叉产物。我们将它们之间的双重性作为Baaj-skandalis二元性的概括。在量子双打的情况下，这种双重性还保留了扭曲张量产物给出的单体结构。我们还讨论了与鲍姆 - 康纳斯猜想的量子类似物有关的均值Kasparov理论的后果。
We compare actions on C*-algebras of two constructions of locally compact quantum groups, the bicrossed product and the double crossed product. We give a duality between them as a generalization of Baaj-Skandalis duality. In the case of quantum doubles, this duality also preserves monoidal structures given by twisted tensor products. We also discuss its consequences for equivariant Kasparov theories in relation to the quantum analogue of the Baum-Connes conjecture.
